Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2

Name: Solved: Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2 - MathMaster
Brand: MathMaster
Rating: 4.9 (125 reviews)

125

likes

626 views

Answer to a math question Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2

$Expert avatar$

Birdie

4.5

103 Answers

$\frac{dy}{dx}=cosx\cos x-\sin x\sin x=\cos(2x)$

$-1\left(x-\pi/2\right)=\left(y-0\right)$

$y=-x+\pi/2$

Frequently asked questions (FAQs)

What is the result when vector A with magnitude 10 units is added to vector B with magnitude 8 units, and then subtracted by vector C with magnitude 15 units?

What is the factored form of the equation 3x^2 + 5x + 2?

Question: Find the derivative of the function f(x) = x^3 + 2x^2 - 5x - 4.

New questions in Mathematics

Add. 7/w²+18w+81 + 1/w²-81

QUESTION l. An investigation has been carried out in a region to know the perception of "citizen insecurity" of its inhabitants. 1,270 people in the region were interviewed, of which 27.1% responded that it was a "serious" problem. Knowing that this opinion was previously held by 25.3% of the population of that region, we want to know if said opinion has changed significantly for a confidence level of 97.2%. Taking this statement into account, the following is requested: a) Critical value of the contrast statistic. b) Solve the hypothesis test and indicate what conclusion we can reach. c) P-value of contrast.

If O(3,-2) is reflected across x = 2. What are the coordinates of O

Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number

The miles per gallon (mpg) for each of 20 medium-sized cars selected from a production line during the month of March are listed below. 23.0 21.2 23.5 23.6 20.1 24.3 25.2 26.9 24.6 22.6 26.1 23.1 25.8 24.6 24.3 24.1 24.8 22.1 22.8 24.5 (a) Find the z-scores for the largest measurement. (Round your answers to two decimal places.) z =

Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)

Calculate the value of a so that the vectors (2,2,−1),(3,4,2) and(a,2,3) are coplanar.

In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24

DuocUC 2) The cost C, in pesos, for the production of x meters of a certain fabric can be calculated through the function: (x+185) C(x)=81300-6x+ 20000 a) It is known that C(90) 5.344. Interpret this result. (2 points) b) Calculate C'(x) (2 points) 3 x²+111x-0.87 20000 2000 c) Function C calculates the cost while producing a maximum of 500 meters of fabric. Determine the values of x at which the cost of production is increasing and the values of x at which the cost is decreasing. (3 points) d) If a maximum of 500 meters of fabric are produced, what is the minimum production cost? (